Remarks on almost Riemann solitons with gradient or torse-forming vector field
Differential Geometry
2025-08-04 v4
Abstract
We consider almost Riemann solitons in a Riemannian manifold and underline their relation to almost Ricci solitons. When is of gradient type, using Bochner formula, we explicitly express the function by means of the gradient vector field and illustrate the result with suitable examples. Moreover, we deduce some properties for the particular cases when the potential vector field of the soliton is solenoidal or torse-forming, with a special view towards curvature.
Keywords
Cite
@article{arxiv.2008.06413,
title = {Remarks on almost Riemann solitons with gradient or torse-forming vector field},
author = {Adara M. Blaga},
journal= {arXiv preprint arXiv:2008.06413},
year = {2025}
}